The 0.4 kg B pin in the figure moves freely inside the circular slide DE with radius b and the counterclockwise (positive direction) rotating arm OC. Calculate the radial (Fr) and axial (Fθ) forces using the values in the table, ignoring friction. b=211 mm θ=19  θ.=9 rad/s θ..=285 rad/s2

please define the system and provide the free-body diagram with x-y-axis

Please draw the figure. Thank you so much.An engine flywheel and a clutch plate are both connected to a transmission shaft. Let the moment of inertia of the flywheel be I1 and its angular velocity ω1, and let the moment of inertia of the clutch plate be I2 and its angular velocity is ω2. The two discs have then been combined by forces which are applied at their axes of rotation so as not to cause any torque. The discs then reached a common final angular velocity after rotational collision. Find the expression for the final angular velocity.

4- Three forces F1, F2, F3 affect a body F2 with a mass of 4 kg, as shown in the figure. If F1 = 10N, F2=15N,F3=20N calculate the acceleration with which the body will move,, and determine the direction of the acceleration. E 30° 7F3 F1